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Finding the Third Proportional to 713,664 and 972,054

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Solution

The third proportional to 713,664 and 972,054 is: 1,323,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,664 : 972,054 = 972,054 : x
  2. Step 2: Convert to fraction form
    713,664/972,054 = 972,054/x
  3. Step 3: Cross multiply
    713,664x = 972,054 × 972,054
  4. Step 4: Simplify right side
    713,664x = 944,888,978,916
  5. Step 5: Solve for x
    x = 944,888,978,916/713,664
  6. Step 6: Final answer
    x = 1,323,996.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.